Title of article
WHEN IS THE RING OF REAL MEASURABLE FUNCTIONS A HEREDITARY RING?
Author/Authors
Hejazipour ، H. - Shahrekord University , Naghipour ، A. R. - Shahrekord University
Pages
8
From page
1905
To page
1912
Abstract
Let M(X,A,μ) be the ring of real-valued measurable functions on a measure space (X,A,μ). In this paper, we characterize the maximal ideals in the rings of real measurable functions and as a consequence, we determine when M(X,A,μ) is a hereditary ring.
Keywords
Measurable functions , hereditary rings , projective prime ideals
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456199
Link To Document